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2 <p>Last updated on<strong>August 5, 2025</strong></p>

3 <p>When a number is multiplied by itself thrice, the resultant number is called the cube of a number. Cubing is used when comparing sizes of objects or things with cubic measurements. In this topic, we shall learn about cubes of 1.5.</p>

4 <h2>Cube of 1.5</h2>

5 <p>A<a>cube</a><a>number</a>is a value obtained by raising a number to the<a>power</a><a>of</a>3, or by multiplying the number by itself three times.</p>

6 <p>When you cube a positive number, the result is always positive.</p>

7 <p>When you cube a<a>negative number</a>, the result is always negative.</p>

8 <p>This is because a negative number by itself three times results in a negative number.</p>

9 <p>The cube of 1.5 can be written as 1.5³, which is the<a>exponential form</a>.</p>

10 <p>Or it can also be written in<a>arithmetic</a>form as, 1.5 × 1.5 × 1.5.</p>

11 <h2>How to Calculate the Value of Cube of 1.5</h2>

12 <p>To calculate whether a number is a cube number or not, we can use the following three methods:<a>multiplication</a>method, a<a>factor</a><a>formula</a>(a³), or by using a<a>calculator</a>. These three methods will help kids to cube the numbers faster and easier without feeling confused or stuck while evaluating the answers. </p>

13 <ul><li>By Multiplication Method </li>

14 <li>Using a Formula (a3) </li>

15 <li>Using a Calculator</li>

16 </ul><h3>By Multiplication Method</h3>

17 <p>The multiplication method is a process in mathematics used to find the<a>product</a>of two numbers or quantities by combining them through repeated<a>addition</a>. It is a fundamental operation that forms the basis for more complex mathematical concepts.</p>

18 <p><strong>Step 1:</strong>Write down the cube of the given number. 1.5³ = 1.5 × 1.5 × 1.5</p>

19 <p><strong>Step 2:</strong>You get 3.375 as the answer.</p>

20 <p>Hence, the cube of 1.5 is 3.375.</p>

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23 <h3>Using a Formula (a³)</h3>

22 <h3>Using a Formula (a³)</h3>

24 <p>The formula (a + b)³ is a<a>binomial</a>formula for finding the cube of a number. The formula is expanded as a³ + 3a²b + 3ab² + b³.</p>

23 <p>The formula (a + b)³ is a<a>binomial</a>formula for finding the cube of a number. The formula is expanded as a³ + 3a²b + 3ab² + b³.</p>

25 <p><strong>Step 1:</strong>Split the number 1.5 into two parts, as 1 and 0.5. Let a = 1 and b = 0.5, so a + b = 1.5</p>

24 <p><strong>Step 1:</strong>Split the number 1.5 into two parts, as 1 and 0.5. Let a = 1 and b = 0.5, so a + b = 1.5</p>

26 <p><strong>Step 2:</strong>Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³</p>

25 <p><strong>Step 2:</strong>Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³</p>

27 <p><strong>Step 3:</strong>Calculate each<a>term</a>a³ = 1³ 3a²b = 3 × 1² × 0.5 3ab² = 3 × 1 × 0.5² b³ = 0.5³</p>

26 <p><strong>Step 3:</strong>Calculate each<a>term</a>a³ = 1³ 3a²b = 3 × 1² × 0.5 3ab² = 3 × 1 × 0.5² b³ = 0.5³</p>

28 <p><strong>Step 4:</strong>Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (1 + 0.5)³ = 1³ + 3 × 1² × 0.5 + 3 × 1 × 0.5² + 0.5³ 1.5³ = 1 + 1.5 + 0.75 + 0.125 1.5³ = 3.375</p>

27 <p><strong>Step 4:</strong>Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (1 + 0.5)³ = 1³ + 3 × 1² × 0.5 + 3 × 1 × 0.5² + 0.5³ 1.5³ = 1 + 1.5 + 0.75 + 0.125 1.5³ = 3.375</p>

29 <p><strong>Step 5:</strong>Hence, the cube of 1.5 is 3.375.</p>

28 <p><strong>Step 5:</strong>Hence, the cube of 1.5 is 3.375.</p>

30 <h3>Using a Calculator</h3>

29 <h3>Using a Calculator</h3>

31 <p>To find the cube of 1.5 using a calculator, input the number 1.5 and use the cube<a>function</a>(if available) or multiply 1.5 × 1.5 × 1.5. This operation calculates the value of 1.5³, resulting in 3.375. It’s a quick way to determine the cube without manual computation.</p>

30 <p>To find the cube of 1.5 using a calculator, input the number 1.5 and use the cube<a>function</a>(if available) or multiply 1.5 × 1.5 × 1.5. This operation calculates the value of 1.5³, resulting in 3.375. It’s a quick way to determine the cube without manual computation.</p>

32 <p><strong>Step 1:</strong>Ensure the calculator is functioning properly.</p>

31 <p><strong>Step 1:</strong>Ensure the calculator is functioning properly.</p>

33 <p><strong>Step 2:</strong>Press 1 followed by . and 5</p>

32 <p><strong>Step 2:</strong>Press 1 followed by . and 5</p>

34 <p><strong>Step 3:</strong>If the calculator has a cube function, press it to calculate 1.5³.</p>

33 <p><strong>Step 3:</strong>If the calculator has a cube function, press it to calculate 1.5³.</p>

35 <p><strong>Step 4:</strong>If there is no cube function on the calculator, simply multiply 1.5 three times manually.</p>

34 <p><strong>Step 4:</strong>If there is no cube function on the calculator, simply multiply 1.5 three times manually.</p>

36 <p><strong>Step 5:</strong>The calculator will display 3.375.</p>

35 <p><strong>Step 5:</strong>The calculator will display 3.375.</p>

37 <h2>Tips and Tricks for the Cube of 1.5</h2>

36 <h2>Tips and Tricks for the Cube of 1.5</h2>

38 <ul><li>The cube of any number<a>greater than</a>0 but<a>less than</a>1 will be smaller than the original number. </li>

37 <ul><li>The cube of any number<a>greater than</a>0 but<a>less than</a>1 will be smaller than the original number. </li>

39 <li>The cube of any number greater than 1 will be larger than the original number. </li>

38 <li>The cube of any number greater than 1 will be larger than the original number. </li>

40 <li>Cubing a number between 0 and 1 results in a smaller number. </li>

39 <li>Cubing a number between 0 and 1 results in a smaller number. </li>

41 <li>Cubing an<a>integer</a>results in an integer, while cubing a<a>fraction</a>results in a fraction.</li>

40 <li>Cubing an<a>integer</a>results in an integer, while cubing a<a>fraction</a>results in a fraction.</li>

42 </ul><h2>Common Mistakes to Avoid When Calculating the Cube of 1.5</h2>

41 </ul><h2>Common Mistakes to Avoid When Calculating the Cube of 1.5</h2>

43 <p>There are some typical errors that kids might make during the process of cubing a number. Let us take a look at five of the major mistakes that kids might make:</p>

42 <p>There are some typical errors that kids might make during the process of cubing a number. Let us take a look at five of the major mistakes that kids might make:</p>

44 <h3>Problem 1</h3>

43 <h3>Problem 1</h3>

45 <p>What is the cube and cube root of 1.5?</p>

44 <p>What is the cube and cube root of 1.5?</p>

46 <p>Okay, lets begin</p>

45 <p>Okay, lets begin</p>

47 <p>The cube of 1.5 is 3.375 and the cube root of 1.5 is approximately 1.1447.</p>

46 <p>The cube of 1.5 is 3.375 and the cube root of 1.5 is approximately 1.1447.</p>

48 <h3>Explanation</h3>

47 <h3>Explanation</h3>

49 <p>First, let’s find the cube of 1.5.</p>

48 <p>First, let’s find the cube of 1.5.</p>

50 <p>We know that cube of a number, such that x³ = y</p>

49 <p>We know that cube of a number, such that x³ = y</p>

51 <p>Where x is the given number, and y is the cubed value of that number</p>

50 <p>Where x is the given number, and y is the cubed value of that number</p>

52 <p>So, we get 1.5³ = 3.375 Next, we must find the cube root of 1.5</p>

51 <p>So, we get 1.5³ = 3.375 Next, we must find the cube root of 1.5</p>

53 <p>We know that cube root of a number ‘x’, such that ∛x = y</p>

52 <p>We know that cube root of a number ‘x’, such that ∛x = y</p>

54 <p>Where ‘x’ is the given number, and y is the cube root value of the number</p>

53 <p>Where ‘x’ is the given number, and y is the cube root value of the number</p>

55 <p>So, we get ∛1.5 ≈ 1.1447</p>

54 <p>So, we get ∛1.5 ≈ 1.1447</p>

56 <p>Hence the cube of 1.5 is 3.375 and the cube root of 1.5 is approximately 1.1447.</p>

55 <p>Hence the cube of 1.5 is 3.375 and the cube root of 1.5 is approximately 1.1447.</p>

57 <p>Well explained 👍</p>

56 <p>Well explained 👍</p>

58 <h3>Problem 2</h3>

57 <h3>Problem 2</h3>

59 <p>If the side length of the cube is 1.5 cm, what is the volume?</p>

58 <p>If the side length of the cube is 1.5 cm, what is the volume?</p>

60 <p>Okay, lets begin</p>

59 <p>Okay, lets begin</p>

61 <p>The volume is 3.375 cm³.</p>

60 <p>The volume is 3.375 cm³.</p>

62 <h3>Explanation</h3>

61 <h3>Explanation</h3>

63 <p>Use the volume formula for a cube V = Side³.</p>

62 <p>Use the volume formula for a cube V = Side³.</p>

64 <p>Substitute 1.5 for the side length: V = 1.5³ = 3.375 cm³.</p>

63 <p>Substitute 1.5 for the side length: V = 1.5³ = 3.375 cm³.</p>

65 <p>Well explained 👍</p>

64 <p>Well explained 👍</p>

66 <h3>Problem 3</h3>

65 <h3>Problem 3</h3>

67 <p>How much larger is 1.5³ than 1.2³?</p>

66 <p>How much larger is 1.5³ than 1.2³?</p>

68 <p>Okay, lets begin</p>

67 <p>Okay, lets begin</p>

69 <p>1.5³ - 1.2³ = 1.749.</p>

68 <p>1.5³ - 1.2³ = 1.749.</p>

70 <h3>Explanation</h3>

69 <h3>Explanation</h3>

71 <p>First find the cube of 1.5³, that is 3.375</p>

70 <p>First find the cube of 1.5³, that is 3.375</p>

72 <p>Next, find the cube of 1.2³, which is 1.728</p>

71 <p>Next, find the cube of 1.2³, which is 1.728</p>

73 <p>Now, find the difference between them using the subtraction method. 3.375 - 1.728 = 1.647</p>

72 <p>Now, find the difference between them using the subtraction method. 3.375 - 1.728 = 1.647</p>

74 <p>Therefore, the 1.5³ is 1.647 larger than 1.2³.</p>

73 <p>Therefore, the 1.5³ is 1.647 larger than 1.2³.</p>

75 <p>Well explained 👍</p>

74 <p>Well explained 👍</p>

76 <h3>Problem 4</h3>

75 <h3>Problem 4</h3>

77 <p>If a cube with a side length of 1.5 cm is compared to a cube with a side length of 1 cm, how much larger is the volume of the larger cube?</p>

76 <p>If a cube with a side length of 1.5 cm is compared to a cube with a side length of 1 cm, how much larger is the volume of the larger cube?</p>

78 <p>Okay, lets begin</p>

77 <p>Okay, lets begin</p>

79 <p>The volume of the cube with a side length of 1.5 cm is 3.375 cm³.</p>

78 <p>The volume of the cube with a side length of 1.5 cm is 3.375 cm³.</p>

80 <h3>Explanation</h3>

79 <h3>Explanation</h3>

81 <p>To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).</p>

80 <p>To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).</p>

82 <p>Cubing 1.5 means multiplying 1.5 by itself three times: 1.5 × 1.5 = 2.25, and then 2.25 × 1.5 = 3.375.</p>

81 <p>Cubing 1.5 means multiplying 1.5 by itself three times: 1.5 × 1.5 = 2.25, and then 2.25 × 1.5 = 3.375.</p>

83 <p>The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.</p>

82 <p>The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.</p>

84 <p>Therefore, the volume of the cube is 3.375 cm³.</p>

83 <p>Therefore, the volume of the cube is 3.375 cm³.</p>

85 <p>Well explained 👍</p>

84 <p>Well explained 👍</p>

86 <h3>Problem 5</h3>

85 <h3>Problem 5</h3>

87 <p>Estimate the cube 1.45 using the cube 1.5.</p>

86 <p>Estimate the cube 1.45 using the cube 1.5.</p>

88 <p>Okay, lets begin</p>

87 <p>Okay, lets begin</p>

89 <p>The cube of 1.45 is approximately 3.05.</p>

88 <p>The cube of 1.45 is approximately 3.05.</p>

90 <h3>Explanation</h3>

89 <h3>Explanation</h3>

91 <p>First, identify the cube of 1.5,</p>

90 <p>First, identify the cube of 1.5,</p>

92 <p>The cube of 1.5 is 1.5³ = 3.375.</p>

91 <p>The cube of 1.5 is 1.5³ = 3.375.</p>

93 <p>Since 1.45 is only slightly less than 1.5, the cube of 1.45 will be a bit less than the cube of 1.5.</p>

92 <p>Since 1.45 is only slightly less than 1.5, the cube of 1.45 will be a bit less than the cube of 1.5.</p>

94 <p>The cube of 1.45 is approximately 3.05 because the difference between 1.45 and 1.5 is small.</p>

93 <p>The cube of 1.45 is approximately 3.05 because the difference between 1.45 and 1.5 is small.</p>

95 <p>So, we can approximate the value as about 3.05.</p>

94 <p>So, we can approximate the value as about 3.05.</p>

96 <p>Well explained 👍</p>

95 <p>Well explained 👍</p>

97 <h2>FAQs on Cube of 1.5</h2>

96 <h2>FAQs on Cube of 1.5</h2>

98 <h3>1.What are the perfect cubes up to 1.5?</h3>

97 <h3>1.What are the perfect cubes up to 1.5?</h3>

99 <h3>2.How do you calculate 1.5³?</h3>

98 <h3>2.How do you calculate 1.5³?</h3>

100 <p>To calculate 1.5³, use the multiplication method, 1.5 × 1.5 × 1.5, which equals 3.375.</p>

99 <p>To calculate 1.5³, use the multiplication method, 1.5 × 1.5 × 1.5, which equals 3.375.</p>

101 <h3>3.What is the meaning of 1.5³?</h3>

100 <h3>3.What is the meaning of 1.5³?</h3>

102 <p>1.5³ means 1.5 multiplied by itself three times, or 1.5 × 1.5 × 1.5.</p>

101 <p>1.5³ means 1.5 multiplied by itself three times, or 1.5 × 1.5 × 1.5.</p>

103 <h3>4.What is the cube root of 1.5?</h3>

102 <h3>4.What is the cube root of 1.5?</h3>

104 <p>The<a>cube root</a>of 1.5 is approximately 1.1447.</p>

103 <p>The<a>cube root</a>of 1.5 is approximately 1.1447.</p>

105 <h3>5.Is 1.5 a perfect cube?</h3>

104 <h3>5.Is 1.5 a perfect cube?</h3>

106 <p>No, 1.5 is not a perfect cube because no integer multiplied by itself three times equals 1.5.</p>

105 <p>No, 1.5 is not a perfect cube because no integer multiplied by itself three times equals 1.5.</p>

107 <h2>Important Glossaries for Cube of 1.5</h2>

106 <h2>Important Glossaries for Cube of 1.5</h2>

108 <ul><li><strong>Binomial Formula:</strong>It is an algebraic expression used to expand the powers of a number, written as (a + b)ⁿ, where ‘n’ is a positive integer raised to the base. The formula is used to find the square and cube of a number.</li>

107 <ul><li><strong>Binomial Formula:</strong>It is an algebraic expression used to expand the powers of a number, written as (a + b)ⁿ, where ‘n’ is a positive integer raised to the base. The formula is used to find the square and cube of a number.</li>

109 </ul><ul><li><strong>Cube of a Number:</strong>Multiplying a number by itself three times is called the cube of a number.</li>

108 </ul><ul><li><strong>Cube of a Number:</strong>Multiplying a number by itself three times is called the cube of a number.</li>

110 </ul><ul><li><strong>Exponential Form:</strong>It is a way of expressing numbers using a base and an exponent (or power), where the exponent value indicates how many times the base is multiplied by itself. For example, 2³ represents 2 × 2 × 2 equals 8.</li>

109 </ul><ul><li><strong>Exponential Form:</strong>It is a way of expressing numbers using a base and an exponent (or power), where the exponent value indicates how many times the base is multiplied by itself. For example, 2³ represents 2 × 2 × 2 equals 8.</li>

111 </ul><ul><li><strong>Cube Root:</strong>It is the value that, when multiplied by itself three times, gives the original number.</li>

110 </ul><ul><li><strong>Cube Root:</strong>It is the value that, when multiplied by itself three times, gives the original number.</li>

112 </ul><ul><li><strong>Volume of a Cube:</strong>The amount of space inside a cube, calculated by raising the side length to the third power (side³).</li>

111 </ul><ul><li><strong>Volume of a Cube:</strong>The amount of space inside a cube, calculated by raising the side length to the third power (side³).</li>

113 </ul><p>What Is Algebra? 🧮 | Simple Explanation with 🎯 Cool Examples for Kids | ✨BrightCHAMPS Math</p>

112 </ul><p>What Is Algebra? 🧮 | Simple Explanation with 🎯 Cool Examples for Kids | ✨BrightCHAMPS Math</p>

114 <p>▶</p>

113 <p>▶</p>

115 <h2>Jaskaran Singh Saluja</h2>

114 <h2>Jaskaran Singh Saluja</h2>

116 <h3>About the Author</h3>

115 <h3>About the Author</h3>

117 <p>Jaskaran Singh Saluja is a math wizard with nearly three years of experience as a math teacher. His expertise is in algebra, so he can make algebra classes interesting by turning tricky equations into simple puzzles.</p>

116 <p>Jaskaran Singh Saluja is a math wizard with nearly three years of experience as a math teacher. His expertise is in algebra, so he can make algebra classes interesting by turning tricky equations into simple puzzles.</p>

118 <h3>Fun Fact</h3>

117 <h3>Fun Fact</h3>

119 <p>: He loves to play the quiz with kids through algebra to make kids love it.</p>

118 <p>: He loves to play the quiz with kids through algebra to make kids love it.</p>